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Finding the Third Proportional to 207,522 and 453,487

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Solution

The third proportional to 207,522 and 453,487 is: 990,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,522 : 453,487 = 453,487 : x
  2. Step 2: Convert to fraction form
    207,522/453,487 = 453,487/x
  3. Step 3: Cross multiply
    207,522x = 453,487 × 453,487
  4. Step 4: Simplify right side
    207,522x = 205,650,459,169
  5. Step 5: Solve for x
    x = 205,650,459,169/207,522
  6. Step 6: Final answer
    x = 990,981.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.